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Finding the Fourth Proportional to 408,859.07, 613,245.46 and 109,369.87

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Solution

The fourth proportional to 408,859.07, 613,245.46 and 109,369.87 is: 164,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,859.07 : 613,245.46 = 109,369.87 : x
  2. Step 2: Convert to fraction form
    408,859.07/613,245.46 = 109,369.87/x
  3. Step 3: Cross multiply
    408,859.07x = 613,245.46 × 109,369.87
  4. Step 4: Simplify right side
    408,859.07x = 67,070,576,238.29
  5. Step 5: Solve for x
    x = 67,070,576,238.29/408,859.07
  6. Step 6: Final answer
    x = 164,043.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.